I need to calculate the surface area of an oblate spheroid. My first step is to get the surface equation from Free-Form input. But I have trouble converting to a WM function and replace the focus point and the major axis radius coefficients with my values.

SurfaceData[Entity["Surface", "Spheroid"], "Image"]
SurfaceData[Entity["Surface", "Spheroid"], "SurfaceArea"]
sphOblated = Simplify[% /. x_String :> ToExpression[a, c]]
{a -> Sqrt[2], c -> 1}/%

1 Answer 1


Perhaps a simpler method

SurfaceData[Entity["Surface", "Spheroid"], "SurfaceArea"][Sqrt[2],1]

which instantly returns

2*Pi*(2 + Sqrt[2]*ArcSinh[1])

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.